468298800 has 240 divisors, whose sum is σ = 1684594560. Its totient is φ = 123552000.

The previous prime is 468298777. The next prime is 468298819. The reversal of 468298800 is 8892864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1414635 + ... + 1414965.

It is an arithmetic number, because the mean of its divisors is an integer number (7019144).

Almost surely, 2^468298800 is an apocalyptic number.

468298800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468298800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842297280).

468298800 is an abundant number, since it is smaller than the sum of its proper divisors (1216295760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468298800 is a wasteful number, since it uses less digits than its factorization.

468298800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 468298800 is about 21640.2125682721. The cubic root of 468298800 is about 776.5588049990.

The spelling of 468298800 in words is "four hundred sixty-eight million, two hundred ninety-eight thousand, eight hundred".